#4440 ⟨a, b | aaaababa=aab⟩

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  1. Properties
  2. Rewriting system

Properties

Rewriting system

Format:
Word to reduce:
Tips:
  • Lowercase letters stand for generators.
  • Spaces are ignored.
  • Numbers repeat the previous letter, e.g. b90.
Reduction strategy:
Path to normal form: 1 
1
#RuleProof
1. ca2c2 ⇒ c(ca)2 [9]
2. a3c2 ⇒ a(ca)2 [11]
3. c(a2c)2a ⇒ c2 [7]
4. a(a2c)2a ⇒ ac [6]
5. abc ⇒ cba [4]
6. c2b ⇒ c2ac [8]
7. cab ⇒ ca2c [5]
8. acb ⇒ (ac)2 [10]
9. a2b ⇒ a3c [3]
10. a(ba)2 ⇒ c [2]
# ab:aaaababa=aab ca/b ababa=c morph:5/0
caacc=ccaca
aaacc=acaca
caacaaca=cc
aaacaaca=ac
abc=cba
ccb=ccac
cab=caac
acb=acac
aab=aaac
ababa=c